On the problem of dimension versus size for lattices

European Journal of Combinatorics

Volumn 17, Issue 4, 1996, Pages 421-425

  Sali, Attila ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344464404     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1996.0035     Document Type: Article

References (10)

1. B. Banaschewski, Hüllensysteme und Erweiterung von Quasi-Ordnungen, Z. Math. Logik Grundl., 2 (1956), 117-130.
2. D. R. Fulkerson, Note on Dilworth's decomposition theorem for partially ordered sets, Proc. Am. Math. Soc., 7, (1956) 701-702.
3. Z. Füredi and J. Kahn, Dimension versus size, Order, 5 (1988), 17-20.
4. B. Ganter, P. Nevermann, K. Reuter and J. Stahl, How small can a lattice of dimension n be? Order, 3 (1987), 345-353.
5. T. Hiraguchi, On the dimension of partially ordered sets, Sci. Rep. Kanazawa Univ., 1 (1951), 77-94.
6. D. Kelly, On the dimension of partially ordered sets, Discr. Math., 35 (1981), 135-156.
7. D. Kelly and W. T. Trotter, Dimension theory for ordered sets, in: Ordered Sets, I. Rival (ed.), D. Reidel, 1982, Dordrecht, 171-211.
8. R. J. Kimble, Extremal problems in dimension theory for partially ordered sets, Ph.D. Thesis, M.I.T., 1973.
9. H. M. MacNeille, Pertially ordered sets, Trans. Am. Math. Soc., 42 (1937), 416-460.
10. J. Schmidt, Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Hülle, Arch. Math., 7 (1956), 241-249.